Scale Factor for Velocity given Forces on Prototype and Force on Model Solution

STEP 0: Pre-Calculation Summary
Formula Used
Scale Factor for Velocity = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Length^2*Force on Model))
αV = sqrt(Fp/(αρ*αL^2*Fm))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Scale Factor for Velocity - Scale Factor for Velocity is the ratio between the velocity of an object in a reference frame to its velocity in another frame of reference.
Force on Prototype - (Measured in Newton) - Force on Prototype used to denote the ratio between the prototype, quantity and the model.
Scale Factor for Density of Fluid - Scale Factor for Density of Fluid is the velocity of a body, or a water particle is defined as a displacement per unit of time.
Scale Factor for Length - Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.
Force on Model - (Measured in Newton) - Force on Model used to denote the ratio between the prototype, quantity and the model.
STEP 1: Convert Input(s) to Base Unit
Force on Prototype: 69990.85 Newton --> 69990.85 Newton No Conversion Required
Scale Factor for Density of Fluid: 0.9999 --> No Conversion Required
Scale Factor for Length: 18 --> No Conversion Required
Force on Model: 12 Newton --> 12 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αV = sqrt(Fp/(αρ*αL^2*Fm)) --> sqrt(69990.85/(0.9999*18^2*12))
Evaluating ... ...
αV = 4.24306047417362
STEP 3: Convert Result to Output's Unit
4.24306047417362 --> No Conversion Required
FINAL ANSWER
4.24306047417362 4.24306 <-- Scale Factor for Velocity
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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Relation between Forces on the Prototype and Forces on the Model Calculators

Relation between Forces on Prototype and Forces on Model
​ LaTeX ​ Go Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model
Scale Factor for Inertia Forces given Force on Prototype
​ LaTeX ​ Go Scale Factor for Inertia Forces = Force on Prototype/Force on Model
Force on Model given Force on Prototype
​ LaTeX ​ Go Force on Model = Force on Prototype/Scale Factor for Inertia Forces
Force on Prototype
​ LaTeX ​ Go Force on Prototype = Scale Factor for Inertia Forces*Force on Model

Scale Factor for Velocity given Forces on Prototype and Force on Model Formula

​LaTeX ​Go
Scale Factor for Velocity = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Length^2*Force on Model))
αV = sqrt(Fp/(αρ*αL^2*Fm))

What is the difference between a model and a prototype?

A model tends to lend itself to the aesthetics side of things, used to demonstrate look and feel. A Prototype is more geared towards testing to see if the final piece will work as intended. Whether that is it's physical size, geometry or function.

How to Calculate Scale Factor for Velocity given Forces on Prototype and Force on Model?

Scale Factor for Velocity given Forces on Prototype and Force on Model calculator uses Scale Factor for Velocity = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Length^2*Force on Model)) to calculate the Scale Factor for Velocity, Scale Factor for Velocity given Forces on Prototype and Force on Model is used to denote ratio between prototype, quantity and model. Scale Factor for Velocity is denoted by αV symbol.

How to calculate Scale Factor for Velocity given Forces on Prototype and Force on Model using this online calculator? To use this online calculator for Scale Factor for Velocity given Forces on Prototype and Force on Model, enter Force on Prototype (Fp), Scale Factor for Density of Fluid (αρ), Scale Factor for Length (αL) & Force on Model (Fm) and hit the calculate button. Here is how the Scale Factor for Velocity given Forces on Prototype and Force on Model calculation can be explained with given input values -> 4.24306 = sqrt(69990.85/(0.9999*18^2*12)).

FAQ

What is Scale Factor for Velocity given Forces on Prototype and Force on Model?
Scale Factor for Velocity given Forces on Prototype and Force on Model is used to denote ratio between prototype, quantity and model and is represented as αV = sqrt(Fp/(αρ*αL^2*Fm)) or Scale Factor for Velocity = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Length^2*Force on Model)). Force on Prototype used to denote the ratio between the prototype, quantity and the model, Scale Factor for Density of Fluid is the velocity of a body, or a water particle is defined as a displacement per unit of time, Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size & Force on Model used to denote the ratio between the prototype, quantity and the model.
How to calculate Scale Factor for Velocity given Forces on Prototype and Force on Model?
Scale Factor for Velocity given Forces on Prototype and Force on Model is used to denote ratio between prototype, quantity and model is calculated using Scale Factor for Velocity = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Length^2*Force on Model)). To calculate Scale Factor for Velocity given Forces on Prototype and Force on Model, you need Force on Prototype (Fp), Scale Factor for Density of Fluid (αρ), Scale Factor for Length (αL) & Force on Model (Fm). With our tool, you need to enter the respective value for Force on Prototype, Scale Factor for Density of Fluid, Scale Factor for Length & Force on Model and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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